Nonlinear boundary control of the unforced generalized Korteweg-de Vries-Burgers equation

DOI10.1007/s11071-009-9615-8zbMath1194.35389OpenAlexW2052019852MaRDI QIDQ994787

Alaa El-Kadri, Nejib Smaoui, Mohamed Zribi

Publication date: 13 September 2010

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-009-9615-8

zbMATH Keywords

boundary controlglobal stabilityunforced generalized Korteweg-de Vries-Burgers equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (9)

Adaptive boundary control of the unforced generalized Korteweg-de Vries-Burgers equation ⋮ Dynamics and control of the modified generalized Korteweg-de Vries-Burgers equation with periodic boundary conditions ⋮ Nonlinear adaptive boundary control of the modified generalized Korteweg-de Vries-Burgers equation ⋮ A qualitative study and numerical simulations for a time-delayed dispersive equation ⋮ Boosting the decay of solutions of the linearised Korteweg-de Vries–Burgers equation to a predetermined rate from the boundary ⋮ Finite-time boundary stabilization for Korteweg-de Vries-Burgers equations ⋮ Well-posedness and stability results for the Korteweg-de Vries-Burgers and Kuramoto-Sivashinsky equations with infinite memory: a history approach ⋮ Modelling and nonlinear boundary stabilization of the modified generalized Korteweg-de Vries-Burgers equation ⋮ Boundary linear stabilization of the modified generalized Korteweg-de Vries-Burgers equation

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